Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, January 12, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Tobias Christ

Consistent digital line segments

We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidian axioms. In particular, we show how to derive such a system of digital segments from any total order on the integers. As a consequence, using a well-chosen total order, we manage to define a system of digital segments such that all digital segments are, in Hausdorff metric, optimally close to their corresponding Euclidian segments, thus giving an explicit construction that resolves the main question of the paper by Chun, Korman, Nollenburg, and Tokuyama: Consistent digital rays. Discrete Comput. Geom., 42(3):359-378, 2009.

Joint work with Dömötör Pálvölgyi and Miloš Stojaković a GWOP2009 problem.

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